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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 403 · 40 sums
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The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

NameDateTime takenScore ___ / 40
  1. 1.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  2. 2.Write the ratio 9 : 18 in its simplest form. (a) 9 : 18 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
  3. 3.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  4. 4.If 3 bus tickets cost ₹36, how many rupees do 5 bus tickets cost?
  5. 5.₹2340 is shared between Dev and Arjun in the ratio 5 : 8. How many rupees does Dev get?
  6. 6.If 7 notebooks cost ₹91, how many rupees do 12 notebooks cost?
  7. 7.A box has 6 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 3 : 8 (c) 4 : 9 (d) 6 : 16
  8. 8.Write the ratio 42 : 30 in its simplest form. (a) 5 : 7 (b) 8 : 6 (c) 7 : 5 (d) 42 : 30
  9. 9.Write the ratio 7 : 35 in its simplest form. (a) 7 : 35 (b) 1 : 5 (c) 2 : 6 (d) 5 : 1
  10. 10.3 : 4 = 6 : ?
  11. 11.₹1430 is shared between Tara and Isha in the ratio 2 : 9. How many rupees does Isha get?
  12. 12.Write the ratio 2 : 4 in its simplest form. (a) 2 : 4 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
  13. 13.Are 48, 54, 56 and 66 in proportion? (a) No (b) Yes
  14. 14.₹1350 is shared between Aditya and Dev in the ratio 1 : 8. How many rupees does Aditya get?
  15. 15.Write the ratio 42 : 12 in its simplest form. (a) 2 : 7 (b) 42 : 12 (c) 7 : 2 (d) 8 : 3
  16. 16.A garden has 6 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 8 (b) 6 : 14 (c) 3 : 7 (d) 7 : 3
  17. 17.₹1430 is shared between Dev and Lakshmi in the ratio 4 : 7. How many rupees does Dev get?
  18. 18.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  19. 19.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  20. 20.Are 4, 24, 5 and 32 in proportion? (a) Yes (b) No
  21. 21.If 4 mangoes cost ₹208, how many rupees do 5 mangoes cost?
  22. 22.If 7 notebooks cost ₹245, how many rupees do 4 notebooks cost?
  23. 23.If 8 mangoes cost ₹272, how many rupees do 3 mangoes cost?
  24. 24.A garden has 8 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 5 : 6 (c) 5 : 4 (d) 4 : 5
  25. 25.Write the ratio 5 : 25 in its simplest form. (a) 2 : 6 (b) 5 : 1 (c) 5 : 25 (d) 1 : 5
  26. 26.Write the ratio 42 : 35 in its simplest form. (a) 42 : 35 (b) 6 : 5 (c) 7 : 6 (d) 5 : 6
  27. 27.A garden has 10 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 10 : 45 (d) 9 : 2
  28. 28.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  29. 29.Are 25, 45, 10 and 18 in proportion? (a) No (b) Yes
  30. 30.Write the ratio 18 : 63 in its simplest form. (a) 18 : 63 (b) 2 : 7 (c) 3 : 8 (d) 7 : 2
  31. 31.₹520 is shared between Diya and Tara in the ratio 1 : 3. How many rupees does Diya get?
  32. 32.7 : 9 = ? : 27
  33. 33.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  34. 34.₹700 is shared between Ishaan and Meera in the ratio 3 : 4. How many rupees does Ishaan get?
  35. 35.A garden has 4 rose plants and 2 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 1 : 2 (c) 2 : 1 (d) 4 : 2
  36. 36.Write the ratio 56 : 40 in its simplest form. (a) 5 : 7 (b) 8 : 6 (c) 56 : 40 (d) 7 : 5
  37. 37.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  38. 38.₹180 is shared between Kabir and Riya in the ratio 2 : 7. How many rupees does Kabir get?
  39. 39.If 3 notebooks cost ₹153, how many rupees do 4 notebooks cost?
  40. 40.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?

Answer key

  1. 490
  2. 1 : 2
  3. 210
  4. 60
  5. 900
  6. 156
  7. 3 : 8
  8. 7 : 5
  9. 1 : 5
  10. 8
  11. 1170
  12. 1 : 2
  13. No
  14. 150
  15. 7 : 2
  16. 3 : 7
  17. 520
  18. 30
  19. 135
  20. No
  21. 260
  22. 140
  23. 102
  24. 4 : 5
  25. 1 : 5
  26. 6 : 5
  27. 2 : 9
  28. 375
  29. Yes
  30. 2 : 7
  31. 130
  32. 21
  33. 150
  34. 300
  35. 2 : 1
  36. 7 : 5
  37. 200
  38. 40
  39. 204
  40. 245

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